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Simplifying 9(x + -8) + x = 10(x + -8) + 8 Reorder the terms: 9(-8 + x) + x = 10(x + -8) + 8 (-8 * 9 + x * 9) + x = 10(x + -8) + 8 (-72 + 9x) + x = 10(x + -8) + 8 Combine like terms: 9x + x = 10x -72 + 10x = 10(x + -8) + 8 Reorder the terms: -72 + 10x = 10(-8 + x) + 8 -72 + 10x = (-8 * 10 + x * 10) + 8 -72 + 10x = (-80 + 10x) + 8 Reorder the terms: -72 + 10x = -80 + 8 + 10x Combine like terms: -80 + 8 = -72 -72 + 10x = -72 + 10x Add '72' to each side of the equation. -72 + 72 + 10x = -72 + 72 + 10x Combine like terms: -72 + 72 = 0 0 + 10x = -72 + 72 + 10x 10x = -72 + 72 + 10x Combine like terms: -72 + 72 = 0 10x = 0 + 10x 10x = 10x Add '-10x' to each side of the equation. 10x + -10x = 10x + -10x Combine like terms: 10x + -10x = 0 0 = 10x + -10x Combine like terms: 10x + -10x = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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